On Derivations in Prime Rings and Banach Algebras

DOI10.2307/2159463zbMath0792.16034OpenAlexW4245953134MaRDI QIDQ4027778

Joso Vukman

Publication date: 1 March 1993

Full work available at URL: https://doi.org/10.2307/2159463

zbMATH Keywords

Banach algebracenterradicalderivationcentralizing mapsprime ringadditive mappingcommuting mappinglinear Jordan derivation

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Derivations, actions of Lie algebras (16W25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Ideals and subalgebras (46H10)

Related Items

Some conditions under which derivations are zero on Banach *-algebras, Unnamed Item, Unnamed Item, Unnamed Item, Banach algebra with generalized derivations, Additiven-commuting maps on semiprime rings, Generalization of Herstein theorem and its applications to range inclusion problems., A characterization of derivations on uniformly mean value Banach algebras, On skew derivations and generalized skew derivations in Banach algebras, Commutativity of Banach algebras characterized by primitive ideals and spectra, Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach algebras, Generalized derivations and commutativity of prime Banach algebras, On commutativity of rings and Banach algebras with generalized derivations, Extended Jacobson density theorem for rings with derivations and automorphisms, An Engel condition with an additive mapping in semiprime rings., Unnamed Item, Some commutativity theorems on Banach algebras, On the derivations of semiprime rings and noncommutative Banach algebras, Generalized derivations on Lie ideals in prime rings

Cites Work

• On some additive mappings in rings with involution
• Derivations on commutative normed algebras
• Symmetric bi-derivations on prime and semi-prime rings
• The image of a derivation is contained in the radical
• Jordan Derivations on Semiprime Rings
• Derivations in Prime Rings
• Centralizing Mappings of Prime Rings
• Commuting and Centralizing Mappings in Prime Rings
• On Left Derivations and Related Mappings
• Ideals and Centralizing Mappings in Prime Rings
• Jordan Derivations on Rings
• Centralizing Mappings of Semiprime Rings
• Continuous Derivations on Banach Algebras
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Continuity of Derivations on Commutative Algebras
• Jordan Derivations of Prime Rings
• Jordan derivations on prime rings